MATHEMATICAL REFLECTIONS pg 51 Big Idea Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them. Essential Question What methods are there for comparing things? 1.Give three examples of rates. Ans .a) 20 cents for 5 beads..b) $8.00 for 10 cans of tomatoc) 580 miles on 19 gallons of gas 2. How can rates or unit rates help you to make comparison? Ans. Rates and unit rates help to make comparisons as you can know price of many thing or the amount of gasoline used for an amount of miles and then you can find how much each costs or maybe find out the amount of miles went per gallon. 3.How do you convert a rate to a unit rate? Illustrate your answer with one of the examples you gave in part 1. Ans. You can convert a rate to unit rate by dividing both of the variables .so for b) it will be $8.00 divided by 10 will be 0.8.(0.8 is the unit rate} 4. How can information about unit rates be used to make tables and graphs showing how two variables are related? Use your example to illustrate your answer? Ans. Information about unit rates can help to make tables and graphs because in that way you can predict. For b) if you want to find out how much does 11 cans cost I can easily say it will be $8.80.
5. How can a unit rate be used to write an equation relating two variables? Use your example to illustrate your answer. Ans. Give the first variable a letter, and then give the second variable a letter multiplied by the corresponding number. In b) it will be $=0.8n(n=number of tomato cans and $=money) and then find for any number. Summary I found out what a rate and a unit rate is. I also learned how to convert a rate to a unit rate. I found out how a unit rate is used to be an equation.
Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question
What methods are there for comparing things?
1.Give three examples of rates.
Ans .a) 20 cents for 5 beads..b) $8.00 for 10 cans of tomato c) 580 miles on 19 gallons of gas
2. How can rates or unit rates help you to make comparison?
Ans. Rates and unit rates help to make comparisons as you can know price of many thing or the amount of gasoline used for an amount of miles and then you can find how much each costs or maybe find out the amount of miles went per gallon.
3. How do you convert a rate to a unit rate? Illustrate your answer with one of the examples you gave in part 1.
Ans. You can convert a rate to unit rate by dividing both of the variables .so for b) it will be $8.00 divided by 10 will be 0.8.(0.8 is the unit rate}
4. How can information about unit rates be used to make tables and graphs showing how two variables are related? Use your example to illustrate your answer?
Ans. Information about unit rates can help to make tables and graphs because in that way you can predict. For b) if you want to find out how much does 11 cans cost I can easily say it will be $8.80.
5. How can a unit rate be used to write an equation relating two variables? Use your example to illustrate your answer.
Ans. Give the first variable a letter, and then give the second variable a letter multiplied by the corresponding number. In b) it will be $=0.8n(n=number of tomato cans and $=money) and then find for any number.
Summary
I found out what a rate and a unit rate is. I also learned how to convert a rate to a unit rate. I found out how a unit rate is used to be an equation.